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STEM 1 Assignment 1.odt

This document provides instructions for completing the square to solve quadratic equations. It outlines the steps: 1) Determine if factoring or taking the square root is possible, 2) Change the equation into a perfect square trinomial, 3) Isolate the constant term and move it to the other side, 4) Divide the coefficient of the x term by 2 and square it to find the missing term, 5) Add the missing term to both sides, 6) Take the square root of both sides to solve for x. It then gives 3 examples and states the standard and general formulas for a circle.

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168 views3 pages

STEM 1 Assignment 1.odt

This document provides instructions for completing the square to solve quadratic equations. It outlines the steps: 1) Determine if factoring or taking the square root is possible, 2) Change the equation into a perfect square trinomial, 3) Isolate the constant term and move it to the other side, 4) Divide the coefficient of the x term by 2 and square it to find the missing term, 5) Add the missing term to both sides, 6) Take the square root of both sides to solve for x. It then gives 3 examples and states the standard and general formulas for a circle.

Uploaded by

Cassy Bulatao
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as ODT, PDF, TXT or read online on Scribd
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Grade 11 STEM

STEM 1 - Assignment 1

1. ) How to perform completing the square? (3 points).

Completing a square is a solution done when a vertex form is formulated from


a given quadratic equation . It is also done when solving for x in quadratic equations.

a.) First step is to analyze the problem whether or not it can be factored or the square root can be easily
solved for.
b.)Change the given equation to a perfect square trinomial. So from this equation, = y factor
out a.
c.) Now that the a is factored, with the Addition and/or Subtraction Property of Equality eliminate the c
from the left side and move it to the right side, to balance the equation.
d.)The equation will now result in this; , Since c moved to the other side of the equation,
using the b variable find the missing term.
e.)To find the missing term, divide b by 2, then substitute the quotient to n in this equation; The final
answer is the missing term.
f.)The missing term should also be added to the right side of the equation, to balance the equation.
g.) With the perfect square trinomial complete you may now be able to solve for the square of the
binomial. Solve and simplify the right side of the equation as well. You now have the vertex form.

Additional steps for other application of completing the square;

h.) You need to eliminate the power of 2 by taking theadding a square root to both sides of the equation,
then equate the left side of the equation to 0, and find the square root of the right side of the equation.
i.) Solve for the value of x, and consider two answercases; positive and negative roots.

2.) Provide 3 examples of “Completing the square.” (15 points)

a.) Find the vertex form of


<- This is the vertex form of the given equation.

b.) Find the x of the given quadratic equation by completing the square;

c.) Find the x of the given quadratic equation by completing the square;

3.)What are the general formula and the standard formula of a circle? (2 points)

The standard formula for a circle is The values of h and k indicate that
the circle is translated in h units horizontally and k units vertically from the origin. If the center of the
circle is at the origin the standard equation is; .
The General formula is wherein D, E, and F are real numbers.

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